Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520ca |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
509839941632000000 = 219 · 56 · 76 · 232 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -6 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10677185,13425075775] |
[a1,a2,a3,a4,a6] |
Generators |
[1935:-3680:1] |
Generators of the group modulo torsion |
j |
513516182162686336369/1944885031250 |
j-invariant |
L |
4.1590317541381 |
L(r)(E,1)/r! |
Ω |
0.25776202187416 |
Real period |
R |
0.67229838008608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520bi4 12880l4 |
Quadratic twists by: -4 8 |